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# Multivariable Calculus: Working in Three Dimensions Complete Lesson

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4 MB|40 pages
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Product Description
This lesson is an introduction to three-dimensional geometry for a Multivariable Calculus class. There are plenty of exercises and visuals to help students get a grasp on three-dimensional space. Also, the three-dimensional distance formula is derived and applications of it are explored.

This lesson is meant as an introduction to Multivariable Calculus, but it could be used in Geometry as part of a unit on three-dimensional geometry. No calculus is introduced in this lesson. Another option is to use it after AP Calculus exams have finished.

The topics covered include:
-Three-Dimensional Space
-Features of 3-Space
-Coordinate Planes
-Plotting Points
-Projections of Points
-Simple Surfaces
-Distance Formula in Three Dimensions
-Calculating Distances in Three Dimensions
-Collinearity in Three Dimensions
-Triangles in Three Dimensions

In this product, you will find the following:
-Powerpoint Presentation (25 slides)
-Guided Notes (4 pages, a "filled in" copy is also included)
-Do Now Slips (4 slips on one page, answers included)
-Exit Ticket Slips (4 slips on one page, answers included)
-Homework Assignment (2 pages, a detailed answer key is included)

This lesson is part of a larger unit on The Geometry of Space. The complete unit includes the following:
-Working in Three Dimensions
-Spheres and Cylindrical Surfaces
-Lines and Planes (coming soon!)
-Cylindrical Coordinates (coming soon!)
-Spherical Coordinates (coming soon!)
Total Pages
40 pages
Included
Teaching Duration
50 minutes
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